Back in the middle of June, I had a big virgin that emerged in the top box with
a QE on. As she was trying to slip through the QE to get to the bottom box, I took some
pics of her and a vid too. She was so determined to get through but cannot. Her large thorax was in the way. However, the dinky queen that was mated back in Jan. can slip through a QE with ease. I forgot about this and put her inside a 3 queens hive divided by the QEs. Then quickly put her back in her own hive after a day without any issue.
So yes, a large thorax queen cannot slip by but a small thorax queen can. The normal QE on the market today is design for large thorax queen only. I can only say that a smart queen will not push her thorax through until it got stuck. I use the plastic QE not the metal type. My queen will ease herself with it.